Device-to-device (D2D) communication is an emerging technique for future cellular networks to extend the network coverage. In D2D communication, two nearby mobile users can communicate directly without involving the b...
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Device-to-device (D2D) communication is an emerging technique for future cellular networks to extend the network coverage. In D2D communication, two nearby mobile users can communicate directly without involving the base-station by sharing the uplink/downlink resource with cellular users. The performance of wireless communication deteriorates due to multipath fading and shadowing. Two generalized fading distributions namely - and - have been proposed to characterize the line-of-sight and non-line-of-sight propagation effects respectively. In this paper, the expression of coverage probability for D2D communication, when D2D direct link undergoes - fading with random values of and , and interferers undergo - fading with random values of and has been derived. The stochastic geometry has been utilized to derive the expression of D2D coverage probability. The Lauricella's function, a special mathematical function has been used to represent the expression of D2D coverage probability which is easy to calculate numerically. The effects of fading parameters over coverage probability have been analyzed. Further, using the properties of Lauricella's function and particular values of fading parameters, D2D coverage probability expression has been simplified for four special cases. The D2D coverage probability results obtained from the analytical analysis have been validated through Monte-Carlo simulation.
We analyze the performance of a radar in an environment where clutter is constituted by discrete scatterers whose radar cross-sections are comparable to that of the target. An indoor radar deployment to detect humans ...
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ISBN:
(纸本)9781728168135
We analyze the performance of a radar in an environment where clutter is constituted by discrete scatterers whose radar cross-sections are comparable to that of the target. An indoor radar deployment to detect humans in the presence of furniture is an example of such a scenario. We propose a figure of merit called the radar detection coverage probability (P-DC) to indicate the likelihood of the signal to clutter and noise ratio at the radar being above a predefined threshold under diverse radar, target and clutter conditions. We provide analytical expressions derived from stochastic geometry formulations to derive the P-DC. Based on our analyses, we find useful insights regarding the optimal choice of the transmitted power and radar bandwidth. We also study the sensitivity of the performance of the radar to clutter density, clutter cross-section and path loss under both line-of-sight and non-line-of-sight conditions. Our results are verified through Monte Carlo simulations.
For the cellular networks with Poisson point process and general path-loss exponent, we derive a closed-form expression of the coverage probability. Its graphical profile perfectly matches with the one that is obtaine...
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For the cellular networks with Poisson point process and general path-loss exponent, we derive a closed-form expression of the coverage probability. Its graphical profile perfectly matches with the one that is obtained by numerical integration.
Low powered node densification leading to dense and ultra dense heterogeneous networks is a feature of 5th generation cellular networks. With this densification, the nature of the link between the transmitter and rece...
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Low powered node densification leading to dense and ultra dense heterogeneous networks is a feature of 5th generation cellular networks. With this densification, the nature of the link between the transmitter and receiver in the network requires even more accurate and reliable models. For performance analysis of such networks where the rates of signal loss over distance becomes a significant parameter, more accurate path lossmodels should be usedwhen analyzing user equipment (UE) association probability, coverage probability and average spectral efficiency. In this paper, we have considered a two-tier dense heterogeneous cellular network incorporating downlink uplink decoupled technique and have derived generalized expressions for UE association probability, decoupled uplink coverage probability and decoupled uplink average spectral efficiency using multi-slope path loss model. This path loss model broadly incorporates the effects of physical environment on the distance-dependent path loss. For simulation purpose, we have compared network performance while considering single-slope and dual-slope path loss models. The derived analytical expressions have been validated through network simulations and found in good agreement. Through comparison, it has been found that the decoupled UE association probability and uplink coverage probability is higher when incorporating multi-slope path loss model as compared to single-slope path loss model while the decoupled uplink spectral efficiency is observed to be lower when incorporating dual slope path loss model.
Poisson-Poisson cluster processes (PPCPs) are a class of point processes exhibiting attractive point patterns. Recently, PPCPs have been actively studied for modeling and analysis of heterogeneous cellular networks an...
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Poisson-Poisson cluster processes (PPCPs) are a class of point processes exhibiting attractive point patterns. Recently, PPCPs have been actively studied for modeling and analysis of heterogeneous cellular networks and device-to-device networks. However, to the best of the author's knowledge, there is no exact derivation of downlink coverage probability in a numerically computable form for a cellular network model with base stations (BSs) deployed according to a PPCP within the most fundamental setup, such as single-tier, Rayleigh fading, and nearest BS association. In this letter, we consider such a fundamental model and derive a numerically computable form of coverage probability. To validate the analysis, we compare the results of numerical computations with those by Monte Carlo simulations and confirm good agreement.
In this paper, we investigate the coverage performance of a reference user equipment (UE) in a finite network of multiple three-dimensional (3D) mobile unmanned aerial vehicles (UAVs). Specifically, following the gene...
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In this paper, we investigate the coverage performance of a reference user equipment (UE) in a finite network of multiple three-dimensional (3D) mobile unmanned aerial vehicles (UAVs). Specifically, following the general theory on mobile ad hoc networks (MANETs), we propose a mixed mobility (MM) model which characterizes the movement process of a UAV in the 3D cylindrical region. In this paper, we invoke the random waypoint mobility (RWPM) and uniform mobility (UM) models to represent the movement of a UAV in vertical and spatial directions, respectively. By employing this MM model, we analyze the coverage probability of a reference UE in a finite network of multiple UAVs under the uniform UAV association and closest UAV association policies in one snapshot. According to the former policy, the UE connects to a random UAV while in the latter policy it connects to the closest UAV. Furthermore, all the non-serving UAVs act as the interferers to UE. To facilitate coverage probability analysis, we determine the serving and interfering UAVs-to-UE distance distributions under two association policies for Nakagami-m fading. We quantify the coverage performance of UE for various system and mobility parameters to exemplify the closest UAV association policy. Moreover, the analytical results are verified through simulations.
In uplink non-orthogonal multiple access (NOMA) networks, the order of decoding at the base station (BS) depends on the received instantaneous signal powers (ISPs). Therefore, the signal-to-interference ratio (SIR) co...
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In uplink non-orthogonal multiple access (NOMA) networks, the order of decoding at the base station (BS) depends on the received instantaneous signal powers (ISPs). Therefore, the signal-to-interference ratio (SIR) coverage probability for an uplink NOMA user should be calculated using the ISP-based ranking of the users. In the existing literature, however, mean signal power (MSP)-based ranking is used to determine the decoding order and calculate the SIR coverage probability. Although this approximation provides tractable results, it is not accurate. In this letter, we derive the coverage probability for ISP-based ranking, and we show that MSP-based ranking underestimates the SIR coverage probability.
Introducing heterogeneous networks as a solution for increasing capacity and data rate in cellular networks faces several challenges to be addressed by network designers. Among them, interference is an important issue...
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Introducing heterogeneous networks as a solution for increasing capacity and data rate in cellular networks faces several challenges to be addressed by network designers. Among them, interference is an important issue leading to the reduction in coverage probability or equivalently, the increase in outage probability. Hence, development of schemes that increase the coverage probability in networks seems essential. In this paper, a power control algorithm based on Poisson Point Process (PPP) is proposed to increase the coverage probability in networks. PPP has been shown to accurately model real networks. We provide numerical results to show that our proposed power control algorithm converges to an optimal point and increases the coverage probability, compared to previous works that apply constant transmit power for each tier of the network.
We derive a computationally convenient formula for the large sample coverage probability of a confidence interval for a scalar parameter of interest following a preliminary hypothesis test that a specified vector para...
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We derive a computationally convenient formula for the large sample coverage probability of a confidence interval for a scalar parameter of interest following a preliminary hypothesis test that a specified vector parameter takes a given value in a general regression model. Previously, this large sample coverage probability could only be estimated by simulation. Our formula only requires the evaluation, by numerical integration, of either a double or a triple integral, irrespective of the dimension of this specified vector parameter. We illustrate the application of this formula to a confidence interval for the odds ratio of myocardial infarction when the exposure is recent oral contraceptive use, following a preliminary test where two specified interactions in a logistic regression model are zero. For this real-life data, we compare this large sample coverage probability with the actual coverage probability of this confidence interval, obtained by simulation.
Uplink cellular networks are usually modeled using simple Wyner-type cellular models where interference is simplified as a single random variable, or via 2-D Poisson point process(PPP) theory, with mobile users either...
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Uplink cellular networks are usually modeled using simple Wyner-type cellular models where interference is simplified as a single random variable, or via 2-D Poisson point process(PPP) theory, with mobile users either scattered randomly or placed deterministically. These models are insufficient to evaluate performance in dense urban environments where a large number of small cells are installed. We take a fresh look at this problem using tools from 3-D PPP, and we develop a new general model based on 3-D space for uplink cellular networks. The main idea is modeling mobile users and small cells as two separate spatial PPPs. Under general assumptions, the uplink coverage probability can be easily evaluated through fast integral calculation. We compare our model to the traditional 2-D model and actual mobile user/small cell deployment, and we observe that the proposed model is more accurate and provides a closer bound of coverage probability.
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